Details

sample68.0ms

Algorithm

intervals

Results

23.0ms	237×	body	80	valid
5.0ms	16×	body	640	valid
3.0ms	9×	body	1280	valid
1.0ms	13×	body	160	valid
1.0ms	7×	body	320	valid
0.0ms	1×	body	2560	valid

simplify7.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	3757
7	2046
6	989
5	406
4	195
3	103
2	50
1	22
0	11

prune56.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.8b

localize51.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
11.8b	(fma (- t z) (/ y (- a t)) (+ x y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 51

Calls

2 calls:

23.0ms	(/ y (- a t))
2.0ms	(fma (- t z) (/ y (- a t)) (+ x y))

series320.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ y (- a t))
252.0ms	(fma (- t z) (/ y (- a t)) (+ x y))

simplify3.0s

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
3	1372
2	458
1	176
0	94

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.1b

localize30.0ms

Local error

Found 2 expressions with local error:

0.2b	(* y (/ 1 (- a t)))
11.8b	(fma (- t z) (* y (/ 1 (- a t))) (+ x y))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`associate-r`
19×	`*-un-lft-identity`
17×	`times-frac`
12×	`add-cube-cbrt`
11×	`add-exp-log`
7×	`add-cbrt-cube`
4×	`pow1` `prod-exp`
3×	`associate-l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`expm1-log1p-u` `div-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `div-inv` `flip--`

Counts

2 → 58

Calls

2 calls:

86.0ms	(* y (/ 1 (- a t)))
8.0ms	(fma (- t z) (* y (/ 1 (- a t))) (+ x y))

series305.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* y (/ 1 (- a t)))
242.0ms	(fma (- t z) (* y (/ 1 (- a t))) (+ x y))

simplify8.5s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
4	4807
3	1379
2	641
1	265
0	116

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.1b

localize68.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
4.4b	(+ (* (- t z) (/ y (- a t))) (+ x y))
11.2b	(* (- t z) (/ y (- a t)))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-cbrt-cube` `frac-add` `add-exp-log`
8×	`flip3--` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
6×	`frac-times` `flip3-+` `associate-*l/` `flip-+`
5×	`pow1` `associate-/r` `associate-l*`
4×	`associate-/r/`
3×	`expm1-log1p-u` `sum-log` `associate-r/` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `clear-num` `fma-def` `frac-2neg` `pow-prod-down` `*-commutative`

Counts

3 → 116

Calls

3 calls:

16.0ms	(/ y (- a t))
64.0ms	(+ (* (- t z) (/ y (- a t))) (+ x y))
99.0ms	(* (- t z) (/ y (- a t)))

series555.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ y (- a t))
318.0ms	(+ (* (- t z) (/ y (- a t))) (+ x y))
164.0ms	(* (- t z) (/ y (- a t)))

simplify4.9s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	3037
1	675
0	217

prune2.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.1b

localize92.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (- a t)))
0.6b	(cbrt (/ 1 (- a t)))
0.6b	(cbrt (/ 1 (- a t)))
11.8b	(fma (- t z) (* (* y (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t)))) (+ x y))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `div-inv` `flip--`
1×	`fma-udef`

Counts

4 → 110

Calls

4 calls:

10.0ms	(cbrt (/ 1 (- a t)))
18.0ms	(cbrt (/ 1 (- a t)))
17.0ms	(cbrt (/ 1 (- a t)))
2.0ms	(fma (- t z) (* (* y (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t)))) (+ x y))

series1.3s

Counts

4 → 12

Calls

4 calls:

365.0ms	(cbrt (/ 1 (- a t)))
378.0ms	(cbrt (/ 1 (- a t)))
309.0ms	(cbrt (/ 1 (- a t)))
235.0ms	(fma (- t z) (* (* y (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t)))) (+ x y))

simplify3.2s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
3	1462
2	510
1	255
0	143

prune1.5s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 4.1b

regimes2.2s

Accuracy

36.1% (5.4b remaining)

Error of 8.8b against oracle of 3.3b and baseline of 11.8b

bsearch162.0ms

Steps

Iters	Range		Point
9	8.926486449435712e+126	2.8364102844858466e+132	2.83517124515135e+130
8	-8.353436009901676e+53	-1.3939370376628877e+50	-1.0569496526028927e+52

simplify13.0ms

Iterations

Iter	Nodes
done	25
1	25
0	19

end0.0ms

sample1.9s

Algorithm

intervals

Results

979.0ms	7361×	body	80	valid
109.0ms	392×	body	320	valid
106.0ms	268×	body	1280	valid
89.0ms	433×	body	640	valid
26.0ms	245×	body	160	valid
7.0ms	20×	body	2560	valid